Two concentric circles with common centre O have radii 4cm and 9cm respectively. A point P lies on the outer circle.
(i) With respect to the smaller circle, say whether P is inside, on, or outside it. Give a reason.
(ii) How many tangents can be drawn from P to the smaller circle? State the reason.
(iii) Calculate the length of each tangent drawn from P to the smaller circle.
(iv) How many tangents can be drawn from P to the outer circle itself? Give a reason.